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Finding the Fourth Proportional to 159,884.82, 239,785.47 and 47,534.81

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Solution

The fourth proportional to 159,884.82, 239,785.47 and 47,534.81 is: 71,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,884.82 : 239,785.47 = 47,534.81 : x
  2. Step 2: Convert to fraction form
    159,884.82/239,785.47 = 47,534.81/x
  3. Step 3: Cross multiply
    159,884.82x = 239,785.47 × 47,534.81
  4. Step 4: Simplify right side
    159,884.82x = 11,398,155,558.28
  5. Step 5: Solve for x
    x = 11,398,155,558.28/159,884.82
  6. Step 6: Final answer
    x = 71,289.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.